" 4."((x)/(3)+(1)/(x))^(5)

Domain of (sqrt(x^(2)-4x+3)+1) log_(5)""((x)/(5))+(1)/(x)(sqrt(8x-2x^(2)-6)+1) le 1 is

Domain of (sqrt(s^(2)-4x+3)+1) log_(5)""((x)/(5))+(1)/(x)(sqrt(8x-2x^(2)-6)+1) le 1 is

If f(x)=(x-1)/(4)+((x-1)^(3))/(12)+((x-1)^(5))/(20)+((x-1)^(7))/(28)+.... , where 0ltxlt2 , then f'(x) is equal to

Coefficient of the constant term in the expansion of E=(x^(2/3)+4x^(1/3)+4)^(5)((1)/(x^(1/3)-1)+(1)/(x^(2/3)+x^(1/3)+1))

Solve each of the following quadratic equations: (i) (1)/(x+1)+(2)/(x+2)=(5)/(x+4),xne-1,-2,-4 (ii) (1)/(x+1)+(3)/(5x+1)=(5)/(x+4),xne-1,-(1)/(5),-4

The integral int(1)/(4sqrt((x-1)^(3)(x+2)^(5)) dx is equal to (where c is a constant of integration)

I=int (dx)/(""^(4)sqrt( (x-1) ^(3) (x+2)^(5)))=k ""^(4)sqrt((x-1)/(x+2))+C, then 'k is equal to:

I=int (dx)/(""^(4)sqrt( (x-1) ^(3) (x+2)^(5)))=k ""^(4)sqrt((x-1)/(x+2))+C, then 'k is equal to:

The coefficient of x^(5) in the expansion of (1+(x)/(1!)+(x^(2))/(2!)+(x^(3))/(3!)+(x^(4))/(4!)+(x^(5))/(5!))^(2) is

(x+2)/(3)-(x+1)/(5)=(x-4)/(3)-1